非线性动力学教学中的混沌系统推广与仿真  

Promotion and Simulation of Chaotic System in Nonlinear Dynamics Teaching

作　　者：贾强[1] 孙梅[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《高教学刊》2017年第23期15-17,共3页Journal of Higher Education

基　　金：江苏省自然科学基金项目"切换不连通图上非线性多个体的一致性"资助论文(编号:BK20130535)

摘　　要：以非线性动力学中典型的洛仑兹系统与埃农映射为例,通过引入各类不同的非线性,构造出更多有趣的混沌系统。利用基于MATLAB的数值仿真,进一步验证了本方法的有效性。该方法寓教于乐,有助于提升学生学习本课程的兴趣,同时为混沌应用提供更多的混沌模型。Taking two chaotic prototypes in nonlinear dynamics, the Lorenz system and Henon map, as examples, this work con-structs diverse interesting chaotic models by introducing different nonlinearity functions. The numerical simulations based on MATLAB software further demonstrate the validity of our proposed techniques. It is conducive to the enhancement of the students＇ interest and presents more chaotic models for the application of chaos as well.

关 键 词：混沌 MATLAB 洛仑兹系统 埃农映射 仿真 

分 类 号：G642[文化科学—高等教育学]